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Finding the Fourth Proportional to 19,641.74, 27,105.18 and 10,689.47

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Solution

The fourth proportional to 19,641.74, 27,105.18 and 10,689.47 is: 14,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.74 : 27,105.18 = 10,689.47 : x
  2. Step 2: Convert to fraction form
    19,641.74/27,105.18 = 10,689.47/x
  3. Step 3: Cross multiply
    19,641.74x = 27,105.18 × 10,689.47
  4. Step 4: Simplify right side
    19,641.74x = 289,739,994.62
  5. Step 5: Solve for x
    x = 289,739,994.62/19,641.74
  6. Step 6: Final answer
    x = 14,751.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.